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# Discontinuity

How many points is f(X) = tan(1/x) discontinous from [0 , 100 ] (both included.

Note by Sridhar Thiagarajan
4 years, 9 months ago

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Continuity of a function is defined on numbers that are in it's domain... And the function f that you have stated, tan(1/x), the function is not defined at 2 / ( pi(2n+1))..n=0,1,2,.... So, your domain of definition is incorrect...

- 4 years, 9 months ago

Infinitely many.

- 4 years, 9 months ago

Zero is not in the domain of f

- 4 years, 9 months ago

Only 0.

- 4 years, 9 months ago